Question

15. Find the perimeter of the square in the given figure. Also find the value of a. [Hint : Sides of a square is equal in length.]​

Answer 1

Answer:

• a = 11
• Perimeter = 100cm

Explanation:

Given sides of a square,

• (3a - 8) cm.
• (a + 14) cm.

According to the square property,

Each sides of a square is equal.

Then,

$\rm \implies \: (3a - 8) = (a + 14)$

Solving further,

$\rm \implies \: 3a - 8 = a + 14$

$\rm \implies \: 3a - a= 8 + 14$

$\rm \implies \: 2a= 22$

$\rm \implies \: a= \dfrac{22}{2}$

$\rm \implies \: a= 11$

Each side of the sqaure is :-

→ (3a - 8)

→ 3(11) - 8

→ 33 - 8

→ 25

Perimeter of the sqaure is given by,

→ 4 × side

→ 4 × 25

→ 100cm.